In 1924 CIE defined the V(λ) function to describe the “relative visibility”. It was soon realised that this was not a right description for brightness. During the seven decades that passed by, several attempts were made to describe brightness for monochromatic, less saturated and near white lights. Among the near-white light descriptions the approach by Haubner [1] is the best-known. For monoch...

seismic attribute is a quantitative measure of an interested seismic characteristic. there are several seismic attributes. in recent years, time-frequency (tf) attributes have been developed which to reach them, tf analyzing of seismic data is required. a high resolution tf representation (tfr) can yield more accurate tf attributes. there are several tfr methods including short-time fourier tra...

The rotation curves of a sample of 46 low- and high-surface brightness galaxies are considered in the context of Milgrom's modi_ed dynamics (MOND) to test a new interpolating function proposed by Zhao et al. (2010) [1] and compare with the results of simple interpolating function. The predicted rotation curves are calculated from the total baryonic matter based on the B-band surface photometry,...

This paper presents a new mathematical signal transform that is especially suitable for decoding information related to non-rigid displacements. We provide measure theoretic framework extend the existing Cumulative Distribution Transform [ACHA 45 (2018), no. 3, 616-641] arbitrary (signed) signals on $\overline{\mathbb{R}}$. present both forward (analysis) and inverse (synthesis) formulas transf...

Four methods for the simulation of the Wiener process with constant drift and variance are described. These four methods are (1) approximating the diffusion process by a random walk with very small time steps; (2) drawing directly from the joint density of responses and reaction time by means of a (possibly) repeated application of a rejection algorithm; (3) using a discrete approximation to th...

Targets and objects registration and tracking in a sequence of images play an important role in various areas. One of the methods in image registration is feature-based algorithm which is accomplished in two steps. The first step includes finding features of sensed and reference images. In this step, a scale space is used to reduce the sensitivity of detected features to the scale changes. Afterw...

Discriminating data classes emanating from sensors is an important problem with many applications in science and technology. We describe a new transform for pattern identification that interprets patterns as probability density functions, and has special properties with regards to classification. The transform, which we denote as the Cumulative Distribution Transform (CDT) is invertible, with w...